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3816386304 = 28317292309
BaseRepresentation
bin1110001101111001…
…0110111100000000
3100211222012111210220
43203132112330000
530303443330204
61430410223040
7163400514453
oct34336267400
910758174726
103816386304
111689283575
128a6124a80
1348a883a63
14282bd949a
151750a61d9
hexe3796f00

3816386304 has 72 divisors (see below), whose sum is σ = 10754669520. Its totient is φ = 1197293568.

The previous prime is 3816386291. The next prime is 3816386377. The reversal of 3816386304 is 4036836183.

3816386304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 133099 + ... + 159210.

It is an arithmetic number, because the mean of its divisors is an integer number (149370410).

Almost surely, 23816386304 is an apocalyptic number.

3816386304 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

3816386304 is an abundant number, since it is smaller than the sum of its proper divisors (6938283216).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3816386304 is a wasteful number, since it uses less digits than its factorization.

3816386304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292345 (or 292331 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The square root of 3816386304 is about 61776.9075302414. The cubic root of 3816386304 is about 1562.7305760120.

The spelling of 3816386304 in words is "three billion, eight hundred sixteen million, three hundred eighty-six thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 544 768 816 1088 1632 2176 3264 4352 6528 13056 292309 584618 876927 1169236 1753854 2338472 3507708 4676944 4969253 7015416 9353888 9938506 14030832 14907759 18707776 19877012 28061664 29815518 37415552 39754024 56123328 59631036 74831104 79508048 112246656 119262072 159016096 224493312 238524144 318032192 477048288 636064384 954096576 1272128768 1908193152 3816386304